Math 227 - Statistics » Spring 2023 » 05P Basic Concepts of Probability, Addition Rule, and Multiplication Rule

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Question #1
11 of the 982 digital video recorders (DVRs) in an inventory are known to be defective. What is the probability that a randomly selected item is defective? Express your answer as a percentage rounded to the nearest hundredth without the % sign.
A.   1.88
B.   2.15
C.   1.12
D.   3.26
Question #2
In a genetics experiment on peas, one sample of offspring contained 152 green peas and 364 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Express your answer as a percentage rounded to the nearest hundredth without the % sign.
A.   29.46
B.   33.46
C.   27.32
D.   25.38
Question #3
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant / A / B / C / D Order Accurate / 21 / 46 / 11 / 48 Order Not Accurate / 42 / 8 / 34 / 29 If one order is selected, find the probability of getting an order that is not accurate. Express your answer as a percentage rounded to the nearest hundredth without the % sign.
A.   45.19
B.   47.28
C.   43.98
D.   38.61
Question #4
A research center poll showed that 51.66% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? Express your answer as a percentage rounded to the nearest hundredth without the % sign.
A.   48.34
B.   44.73
C.   46.21
D.   43.56
Question #5
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant / A / B / C / D Order Accurate / 35 / 48 / 49 / 9 Order Not Accurate / 7 / 46 / 14 / 35 If one order is selected, find the probability of getting an order from Restaurant C or an order that is accurate. Express your answer as a percentage rounded to the nearest hundredth without the % sign.
A.   63.79
B.   61.27
C.   54.68
D.   58.93
Question #6
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant / A / B / C / D Order Accurate / 12 / 21 / 22 / 13 Order Not Accurate / 21 / 18 / 8 / 13 If one order is selected, find the probability of getting an order from Restaurant A or an order that is not accurate. Express your answer as a percentage rounded to the nearest hundredth without the % sign.
A.   54.67
B.   49.72
C.   51.17
D.   56.25
Question #7
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant / A / B / C / D Order Accurate / 16 / 3 / 12 / 53 Order Not Accurate / 21 / 39 / 10 / 37 If three different orders are selected, find the probability that they are all from restaurant B. Assume that the orders are selected with replacement. Express your answer as a percentage rounded to the nearest hundredth without the % sign.
A.   1.81
B.   1.06
C.   3.12
D.   2.19
Question #8
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant / A / B / C / D Order Accurate / 30 / 5 / 31 / 18 Order Not Accurate / 34 / 27 / 16 / 19 If three different orders are selected, find the probability that they are all from restaurant B. Assume that the orders are selected without replacement. Express your answer as a percentage rounded to the nearest hundredth without the % sign.
A.   0.09
B.   0.52
C.   0.84
D.   0.16

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